Une hypothèse minimale pour une théorie des plans d'expériences randomisés
Bardin, A. ; Azais, J. M.
Revue de Statistique Appliquée, Tome 38 (1990), p. 21-41 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1990-01-01
@article{RSA_1990__38_2_21_0,
     author = {Bardin, A. and Aza\"\i s, Jean-Marc},
     title = {Une hypoth\`ese minimale pour une th\'eorie des plans d'exp\'eriences randomis\'es},
     journal = {Revue de Statistique Appliqu\'ee},
     volume = {38},
     year = {1990},
     pages = {21-41},
     mrnumber = {1080504},
     zbl = {0971.62502},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/RSA_1990__38_2_21_0}
}

Bardin, A.; Azais, J. M. Une hypothèse minimale pour une théorie des plans d'expériences randomisés. Revue de Statistique Appliquée, Tome 38 (1990) pp. 21-41. http://gdmltest.u-ga.fr/item/RSA_1990__38_2_21_0/

Azais, J-M. (1987) : Design of Experiments for Studying Intergenotypic Competition. J.R. Statist. Soc. B, 49, 334-345. | MR 928943 | Zbl 0623.62101

Bailey, R.A. (1981) : A Unified Approach to Design of Experiments, J.R.S.S. Ser. A, Vol. 144, 214-223. | MR 625801 | Zbl 0469.62053

Bailey, R.A., Praeger, C.E., Rowley, C.A. and Speed, T.P. (1983) : Generalized Wreath Product of Permutation Groups, Proc. London Math. Soc. 3, 47, 69-82. | MR 698928 | Zbl 0496.20018

Bailey, R.A. and Rowley, C.A. (1988) : General Balance and Treatment permutations, unpublished manuscript.

Cochran, W.G. & Cox, G.M. (1957) : Experimental Design, John Wiley & Sons, Inc., New-York. | Zbl 0077.13205

Coursol, J. (1981) : Technique statistique des modèles linéaires, 1 - Aspects théoriques, C.I.M.P.A.. | Zbl 0588.62105

Fisher, R.A. (1925) : Statistical method for research workers, Oliver and Boyd, Londres. | JFM 64.0544.03

Fisher, R.A. (1935) : The design of expriments, Oliver and Boyd, Londres. | JFM 61.0566.03

Fraser, D.A.S. (1957) : On the combining of interblock and intrablock estimates, Ann. Math. Stat., 28, 814-816. | MR 91594 | Zbl 0097.13602

Grltndy, P.M. & Healy, M.J. (1950) : Restrict randomisation and quasi-lattice squares. J.R. Statist. Soc. B, 12, 286-291. | Zbl 0041.45809

Hall, M. (1959) : The Theory of Groups, Macmillan, New-York. | MR 103215 | Zbl 0084.02202

Henderson, C.R. (1953) : Estimation of variance and covariance components, Biometrics, 9, 226. | MR 55650

Henderson, C.R. (1986) : Recent developments in variance and covariance estimation, J.Anim.Sci., 63, 208-216.

Ledermann, W. (1973) : Introduction to Group Theory, Longman Inc., New-York. | Zbl 0284.20001

Malley, J.D. (1986) : "Optimal Unbiased Estimation of Variance Components, Lecture Notes in Statistics, 39, Springer-Verlag, New-York. | MR 868470 | Zbl 0604.62064

Nelder, J.A. (1965a) : The analyse of randomized experiments with orthogonal blocks structure. II.Blocks structure and the null analyse of variance, Proc.Roy Soc. A, 283, 147-162. | MR 176576 | Zbl 0124.10703

Nelder, J.A. (1965b) : The analyse of randomized experiments with orthogonal blocks structure. II.Treatment structure and the general analyse of variance, Proc.Roy.Soc. A, 283, 163-178. | MR 174156 | Zbl 0124.10703

Rao, C.R. & Kleffe, J. (1980) : Estimation of Variance Components, Handbook of Statistics, Vol. 1, North-Holland Company, 1-40. | Zbl 0476.62058

Tedin, O. (1931) : The influence of systematic plot arrangment upon the estimate of error in field experiments, J.Agr.Sci., 21, 191-208.

Tjur, T. (1984) : Analyse of Variance Models in Orthogonal Designs, Int.Stat. Review, 52, 1, 33-81. | MR 967202 | Zbl 0575.62068

Wiancko, A.T. (1914) : Use and management of check plots in soil fertility investigations, J.A.S.A., 6, 122-124.

Wiancko, A.T., Arny, A.C. & Salmon, S.C. (1921) : Report on committee on standardization of fields experiments. Journal of American Society of Agronomy, 13, 368-374.

Yates, F. (1936) : A new method of arranging variety trials involving a large number of varieties, J.Agr.Sci., 26, 424-455.

Yates, F. (1940) : The recovery of inter-block information in balanced incomplete block designs, Ann. Eugen., 10, 317-325.